Search a number
-
+
44222440444020 = 22325389631568701
BaseRepresentation
bin10100000111000010101101…
…10110101001000001110100
312210120121211220120001211100
422003201112312221001310
521244020024223202040
6234015301513010100
712212652204451656
oct1203412666510164
9183517756501740
1044222440444020
11130aa6a4832643
124b627319b3930
131b8a2098665b7
14acc53dd6c6d6
1551a4d927bb30
hex283856da9074

44222440444020 has 72 divisors (see below), whose sum is σ = 134486239403880. Its totient is φ = 11762335468800.

The previous prime is 44222440443983. The next prime is 44222440444051. The reversal of 44222440444020 is 2044404422244.

44222440444020 is a `hidden beast` number, since 4 + 4 + 2 + 2 + 244 + 0 + 4 + 4 + 402 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8841975814116 + 35380464629904 = 2973546^2 + 5948148^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 315714331 + ... + 315854370.

It is an arithmetic number, because the mean of its divisors is an integer number (1867864436165).

Almost surely, 244222440444020 is an apocalyptic number.

It is an amenable number.

44222440444020 is an abundant number, since it is smaller than the sum of its proper divisors (90263798959860).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

44222440444020 is a wasteful number, since it uses less digits than its factorization.

44222440444020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631569105 (or 631569100 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

Adding to 44222440444020 its reverse (2044404422244), we get a palindrome (46266844866264).

The spelling of 44222440444020 in words is "forty-four trillion, two hundred twenty-two billion, four hundred forty million, four hundred forty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 389 778 1167 1556 1945 2334 3501 3890 4668 5835 7002 7780 11670 14004 17505 23340 35010 70020 631568701 1263137402 1894706103 2526274804 3157843505 3789412206 5684118309 6315687010 7578824412 9473530515 11368236618 12631374020 18947061030 22736473236 28420591545 37894122060 56841183090 113682366180 245680224689 491360449378 737040674067 982720898756 1228401123445 1474081348134 2211122022201 2456802246890 2948162696268 3685203370335 4422244044402 4913604493780 7370406740670 8844488088804 11055610111005 14740813481340 22111220222010 44222440444020